Average Error: 0.0 → 0.0
Time: 9.5s
Precision: 64
\[e^{re} \cdot \sin im\]
↓
\[e^{re} \cdot \sin im\]
e^{re} \cdot \sin im
↓
e^{re} \cdot \sin im
double f(double re, double im) {
        double r46155 = re;
        double r46156 = exp(r46155);
        double r46157 = im;
        double r46158 = sin(r46157);
        double r46159 = r46156 * r46158;
        return r46159;
}
↓
double f(double re, double im) {
        double r46160 = re;
        double r46161 = exp(r46160);
        double r46162 = im;
        double r46163 = sin(r46162);
        double r46164 = r46161 * r46163;
        return r46164;
}

Error

Bits error versus re

Bits error versus im

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[e^{re} \cdot \sin im\]

  2. Simplified0.0

    \[\leadsto \color{blue}{\sin im \cdot e^{re}}\]

  3. Final simplification0.0

    \[\leadsto e^{re} \cdot \sin im\]

Reproduce

herbie shell --seed 2019196 
(FPCore (re im)
  :name "math.exp on complex, imaginary part"
  (* (exp re) (sin im)))